What is the Least Common Multiple of 6099 and 6111?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 6099 and 6111 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6099 and 6111, than apply into the LCM equation.

GCF(6099,6111) = 3
LCM(6099,6111) = ( 6099 × 6111) / 3
LCM(6099,6111) = 37270989 / 3
LCM(6099,6111) = 12423663

Least Common Multiple (LCM) of 6099 and 6111 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6099 and 6111. First we will calculate the prime factors of 6099 and 6111.

Prime Factorization of 6099

Prime Factorization of 6111

Now multiplying the highest exponent prime factors to calculate the LCM of 6099 and 6111.

LCM(6099,6111) = 3² × 19¹ × 107¹ × 7¹ × 97¹
LCM(6099,6111) = 12423663